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102101012122023 = 3238352356635283
BaseRepresentation
bin10111001101110000111110…
…100011110000100110100111
3111101111202120002021211220100
4113031300332203300212213
5101340310333100401043
61001052320224035143
730335361155415015
oct2715607643604647
9441452502254810
10102101012122023
112a594883636342
12b54ba3a462ab3
1344c8112aac605
141b2da02d078b5
15bc0d357aecd3
hex5cdc3e8f09a7

102101012122023 has 24 divisors (see below), whose sum is σ = 148147028969472. Its totient is φ = 67759810631568.

The previous prime is 102101012122009. The next prime is 102101012122069. The reversal of 102101012122023 is 320221210101201.

It is not a de Polignac number, because 102101012122023 - 24 = 102101012122007 is a prime.

It is a super-2 number, since 2×1021010121220232 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102101012121987 and 102101012122005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101012129023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26514861 + ... + 30120422.

It is an arithmetic number, because the mean of its divisors is an integer number (6172792873728).

Almost surely, 2102101012122023 is an apocalyptic number.

102101012122023 is a deficient number, since it is larger than the sum of its proper divisors (46046016847449).

102101012122023 is a wasteful number, since it uses less digits than its factorization.

102101012122023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56636195 (or 56636192 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102101012122023 its reverse (320221210101201), we get a palindrome (422322222223224).

The spelling of 102101012122023 in words is "one hundred two trillion, one hundred one billion, twelve million, one hundred twenty-two thousand, twenty-three".

Divisors: 1 3 9 383 523 1149 1569 3447 4707 200309 600927 1802781 56635283 169905849 509717547 21691313389 29620253009 65073940167 88860759027 195221820501 266582277081 11344556902447 34033670707341 102101012122023