102101001011021 has 16 divisors (see below), whose sum is σ = 102813080303808. Its totient is φ = 101391255072000.

The previous prime is 102101001010973. The next prime is 102101001011027. The reversal of 102101001011021 is 120110100101201.

It is a cyclic number.

It is not a de Polignac number, because 102101001011021 - 2¹⁴ = 102101000994637 is a prime.

It is a super-2 number, since 2×102101001011021² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102101001010993 and 102101001011011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101001011027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2112075311 + ... + 2112123651.

It is an arithmetic number, because the mean of its divisors is an integer number (6425817518988).

Almost surely, 2^{102101001011021} is an apocalyptic number.

It is an amenable number.

102101001011021 is a deficient number, since it is larger than the sum of its proper divisors (712079292787).

102101001011021 is a wasteful number, since it uses less digits than its factorization.

102101001011021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72172.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 102101001011021 its reverse (120110100101201), we get a palindrome (222211101112222).

The spelling of 102101001011021 in words is "one hundred two trillion, one hundred one billion, one million, eleven thousand, twenty-one".