101012323020000 has 720 divisors, whose sum is σ = 390081812262912. Its totient is φ = 22810300800000.

The previous prime is 101012323019929. The next prime is 101012323020047. The reversal of 101012323020000 is 20323210101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 243813025 + ... + 244226975.

Almost surely, 2^{101012323020000} is an apocalyptic number.

101012323020000 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 101012323020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195040906131456).

101012323020000 is an abundant number, since it is smaller than the sum of its proper divisors (289069489242912).

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

101012323020000 is an equidigital number, since it uses as much as digits as its factorization.

101012323020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414081 (or 414051 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101012323020000 its reverse (20323210101), we get a palindrome (101032646230101).

The spelling of 101012323020000 in words is "one hundred one trillion, twelve billion, three hundred twenty-three million, twenty thousand".