102101012001021 has 128 divisors (see below), whose sum is σ = 171053351534592. Its totient is φ = 53376491520000.

The previous prime is 102101012000989. The next prime is 102101012001029. The reversal of 102101012001021 is 120100210101201.

It is not a de Polignac number, because 102101012001021 - 2⁵ = 102101012000989 is a prime.

It is a super-3 number, since 3×102101012001021³ (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102101012000988 and 102101012001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101012001029) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39135645 + ... + 41662941.

It is an arithmetic number, because the mean of its divisors is an integer number (1336354308864).

Almost surely, 2^{102101012001021} is an apocalyptic number.

102101012001021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102101012001021 is a deficient number, since it is larger than the sum of its proper divisors (68952339533571).

102101012001021 is a wasteful number, since it uses less digits than its factorization.

102101012001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527483.

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

Adding to 102101012001021 its reverse (120100210101201), we get a palindrome (222201222102222).

It can be divided in two parts, 1021010 and 12001021, that added together give a palindrome (13022031).

The spelling of 102101012001021 in words is "one hundred two trillion, one hundred one billion, twelve million, one thousand, twenty-one".