101213031102000 has 160 divisors (see below), whose sum is σ = 326593844840640. Its totient is φ = 26966731161600.

The previous prime is 101213031101893. The next prime is 101213031102037. The reversal of 101213031102000 is 201130312101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397195 + ... + 14233194.

It is an arithmetic number, because the mean of its divisors is an integer number (2041211530254).

Almost surely, 2^{101213031102000} is an apocalyptic number.

101213031102000 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 101213031102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296922420320).

101213031102000 is an abundant number, since it is smaller than the sum of its proper divisors (225380813738640).

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

101213031102000 is a wasteful number, since it uses less digits than its factorization.

101213031102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14631568 (or 14631552 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101213031102000 its reverse (201130312101), we get a palindrome (101414161414101).

The spelling of 101213031102000 in words is "one hundred one trillion, two hundred thirteen billion, thirty-one million, one hundred two thousand".