102011000101021 has 16 divisors (see below), whose sum is σ = 112018985402688. Its totient is φ = 92126484777600.

The previous prime is 102011000100991. The next prime is 102011000101051. The reversal of 102011000101021 is 120101000110201.

It is an interprime number because it is at equal distance from previous prime (102011000100991) and next prime (102011000101051).

It is a cyclic number.

It is not a de Polignac number, because 102011000101021 - 2¹⁵ = 102011000068253 is a prime.

It is a super-2 number, since 2×102011000101021² (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 = 102011000100989 and 102011000101007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011000101051) 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, 25474915 + ... + 29206048.

It is an arithmetic number, because the mean of its divisors is an integer number (7001186587668).

Almost surely, 2^{102011000101021} is an apocalyptic number.

102011000101021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102011000101021 is a deficient number, since it is larger than the sum of its proper divisors (10007985301667).

102011000101021 is a wasteful number, since it uses less digits than its factorization.

102011000101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54682092.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102011000101021 its reverse (120101000110201), we get a palindrome (222112000211222).

The spelling of 102011000101021 in words is "one hundred two trillion, eleven billion, one hundred one thousand, twenty-one".