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101012112021 = 3671016138117
BaseRepresentation
bin101111000010011001…
…0101000001010010101
3100122201201002221221010
41132010302220022111
53123333100041041
6114223200042433
710204113533262
oct1360462501225
9318651087833
10101012112021
1139925781917
12176b0903419
1396aa3ca8b2
144c63642269
15296300ea16
hex1784ca8295

101012112021 has 32 divisors (see below), whose sum is σ = 138288636288. Its totient is φ = 65564294400.

The previous prime is 101012111987. The next prime is 101012112053. The reversal of 101012112021 is 120211210101.

It is not a de Polignac number, because 101012112021 - 211 = 101012109973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101012111988 and 101012112006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012112121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12440455 + ... + 12448571.

It is an arithmetic number, because the mean of its divisors is an integer number (4321519884).

Almost surely, 2101012112021 is an apocalyptic number.

It is an amenable number.

101012112021 is a deficient number, since it is larger than the sum of its proper divisors (37276524267).

101012112021 is a wasteful number, since it uses less digits than its factorization.

101012112021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8901.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101012112021 its reverse (120211210101), we get a palindrome (221223322122).

The spelling of 101012112021 in words is "one hundred one billion, twelve million, one hundred twelve thousand, twenty-one".

Divisors: 1 3 67 101 201 303 613 1839 6767 8117 20301 24351 41071 61913 123213 185739 543839 819817 1631517 2459451 4148171 4975721 12444513 14927163 54927739 164783217 333373307 502547821 1000119921 1507643463 33670704007 101012112021