101002212010000 has 400 divisors, whose sum is σ = 280218030326784. Its totient is φ = 34536833856000.

The previous prime is 101002212009953. The next prime is 101002212010019. The reversal of 101002212010000 is 10212200101.

It is a tau number, because it is divible by the number of its divisors (400).

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 79 ways as a sum of consecutive naturals, for example, 78723469359 + ... + 78723470641.

Almost surely, 2^{101002212010000} is an apocalyptic number.

101002212010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101002212010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140109015163392).

101002212010000 is an abundant number, since it is smaller than the sum of its proper divisors (179215818316784).

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

101002212010000 is a wasteful number, since it uses less digits than its factorization.

101002212010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3448 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101002212010000 its reverse (10212200101), we get a palindrome (101012424210101).

The spelling of 101002212010000 in words is "one hundred one trillion, two billion, two hundred twelve million, ten thousand".