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102121012102102 = 27231277617196681
BaseRepresentation
bin10111001110000011100110…
…101001101000001111010110
3111101120200011220210002211021
4113032003212221220033112
5101341122313044231402
61001105424553031354
730336666610426600
oct2716034651501726
9441520156702737
10102121012102102
112a5a23070513a4
12b5538a03b555a
1344c9c7c47b156
141b3097d1c6170
15bc1606524d37
hex5ce0e6a683d6

102121012102102 has 96 divisors (see below), whose sum is σ = 184903007682816. Its totient is φ = 42132821068800.

The previous prime is 102121012102079. The next prime is 102121012102121. The reversal of 102121012102102 is 201201210121201.

It is a super-4 number, since 4×1021210121021024 (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519123202 + ... + 519319882.

It is an arithmetic number, because the mean of its divisors is an integer number (1926072996696).

Almost surely, 2102121012102102 is an apocalyptic number.

102121012102102 is a deficient number, since it is larger than the sum of its proper divisors (82781995580714).

102121012102102 is a wasteful number, since it uses less digits than its factorization.

102121012102102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197622 (or 197615 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102121012102102 its reverse (201201210121201), we get a palindrome (303322222223303).

The spelling of 102121012102102 in words is "one hundred two trillion, one hundred twenty-one billion, twelve million, one hundred two thousand, one hundred two".

Divisors: 1 2 7 14 31 49 62 98 217 277 434 554 617 1234 1519 1939 3038 3878 4319 8587 8638 13573 17174 19127 27146 30233 38254 60109 60466 120218 133889 170909 196681 267778 341818 393362 420763 841526 937223 1196363 1376767 1874446 2392726 2753534 5298179 6097111 8374541 9637369 10596358 12194222 16749082 19274738 37087253 42679777 54480637 74174506 85359554 108961274 121352177 242704354 259610771 298758439 381364459 519221542 597516878 762728918 849465239 1688899747 1698930478 2669551213 3377799494 3761917487 5339102426 5946256673 7523834974 11822298229 11892513346 23644596458 26333422409 33614553029 52666844818 67229106058 82756087603 165512175206 184333956863 235301871203 368667913726 470603742406 1042051143899 1647113098421 2084102287798 3294226196842 7294358007293 14588716014586 51060506051051 102121012102102