101210211001000 has 64 divisors (see below), whose sum is σ = 236838206526480. Its totient is φ = 40483005292800.

The previous prime is 101210211000967. The next prime is 101210211001037. The reversal of 101210211001000 is 100112012101.

It can be written as a sum of positive squares in 8 ways, for example, as 3985365410244 + 97224845590756 = 1996338^2 + 9860266^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36723142 + ... + 39382858.

Almost surely, 2^{101210211001000} is an apocalyptic number.

101210211001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210211001000 is an abundant number, since it is smaller than the sum of its proper divisors (135627995525480).

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

101210211001000 is a wasteful number, since it uses less digits than its factorization.

101210211001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697791 (or 2697777 counting only the distinct ones).

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

Adding to 101210211001000 its reverse (100112012101), we get a palindrome (101310323013101).

The spelling of 101210211001000 in words is "one hundred one trillion, two hundred ten billion, two hundred eleven million, one thousand".