101011010002021 has 64 divisors (see below), whose sum is σ = 120132668823552. Its totient is φ = 83140473600000.

The previous prime is 101011010002009. The next prime is 101011010002031. The reversal of 101011010002021 is 120200010110101.

It is a cyclic number.

It is not a de Polignac number, because 101011010002021 - 2⁷ = 101011010001893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101011010001989 and 101011010002007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011010002031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3621360951 + ... + 3621388843.

It is an arithmetic number, because the mean of its divisors is an integer number (1877072950368).

Almost surely, 2^{101011010002021} is an apocalyptic number.

It is an amenable number.

101011010002021 is a deficient number, since it is larger than the sum of its proper divisors (19121658821531).

101011010002021 is a wasteful number, since it uses less digits than its factorization.

101011010002021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28774.

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

Adding to 101011010002021 its reverse (120200010110101), we get a palindrome (221211020112122).

The spelling of 101011010002021 in words is "one hundred one trillion, eleven billion, ten million, two thousand, twenty-one".