101012000110021 has 64 divisors (see below), whose sum is σ = 143853922308096. Its totient is φ = 68262337612800.

The previous prime is 101012000110009. The next prime is 101012000110031. The reversal of 101012000110021 is 120011000210101.

It is a cyclic number.

It is not a de Polignac number, because 101012000110021 - 2¹⁹ = 101011999585733 is a prime.

It is a super-2 number, since 2×101012000110021² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012000110001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4518856 + ... + 14914558.

It is an arithmetic number, because the mean of its divisors is an integer number (2247717536064).

Almost surely, 2^{101012000110021} is an apocalyptic number.

101012000110021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101012000110021 is a deficient number, since it is larger than the sum of its proper divisors (42841922198075).

101012000110021 is a wasteful number, since it uses less digits than its factorization.

101012000110021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10396322.

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

Adding to 101012000110021 its reverse (120011000210101), we get a palindrome (221023000320122).

The spelling of 101012000110021 in words is "one hundred one trillion, twelve billion, one hundred ten thousand, twenty-one".