101021000011002 has 20 divisors (see below), whose sum is σ = 226361870395386. Its totient is φ = 33673666670280.

The previous prime is 101021000010949. The next prime is 101021000011007. The reversal of 101021000011002 is 200110000120101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 91537993867401 + 9483006143601 = 9567549^2 + 3079449^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101021000011007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 311793209749 + ... + 311793210072.

Almost surely, 2^{101021000011002} is an apocalyptic number.

101021000011002 is an abundant number, since it is smaller than the sum of its proper divisors (125340870384384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101021000011002 is an equidigital number, since it uses as much as digits as its factorization.

101021000011002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623586419835 (or 623586419826 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101021000011002 its reverse (200110000120101), we get a palindrome (301131000131103).

The spelling of 101021000011002 in words is "one hundred one trillion, twenty-one billion, eleven thousand, two".