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102101033202021 = 3471271417892669
BaseRepresentation
bin10111001101110000111111…
…110100001011000101100101
3111101111202121112221211020000
4113031300333310023011211
5101340310403444431041
61001052322255531513
730335361532532520
oct2715607764130545
9441452545854200
10102101033202021
112a594894524027
12b54ba45529b99
1344c8117280499
141b2da05a33bb7
15bc0d37575bb6
hex5cdc3fd0b165

102101033202021 has 40 divisors (see below), whose sum is σ = 175682573383680. Its totient is φ = 57884050278432.

The previous prime is 102101033202011. The next prime is 102101033202031. The reversal of 102101033202021 is 120202330101201.

102101033202021 is a `hidden beast` number, since 10 + 210 + 103 + 320 + 2 + 0 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (102101033202011) and next prime (102101033202031).

It is not a de Polignac number, because 102101033202021 - 221 = 102101031104869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102101033201985 and 102101033202003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101033202011) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 708874326 + ... + 709018343.

It is an arithmetic number, because the mean of its divisors is an integer number (4392064334592).

Almost surely, 2102101033202021 is an apocalyptic number.

It is an amenable number.

102101033202021 is a deficient number, since it is larger than the sum of its proper divisors (73581540181659).

102101033202021 is a wasteful number, since it uses less digits than its factorization.

102101033202021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417892815 (or 1417892806 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102101033202021 its reverse (120202330101201), we get a palindrome (222303363303222).

The spelling of 102101033202021 in words is "one hundred two trillion, one hundred one billion, thirty-three million, two hundred two thousand, twenty-one".

Divisors: 1 3 7 9 21 27 63 81 127 189 381 567 889 1143 2667 3429 8001 10287 24003 72009 1417892669 4253678007 9925248683 12761034021 29775746049 38283102063 89327238147 114849306189 180072368963 267981714441 540217106889 803945143323 1260506582741 1620651320667 3781519748223 4861953962001 11344559244669 14585861886003 34033677734007 102101033202021