101202102010000 has 200 divisors, whose sum is σ = 247589089723800. Its totient is φ = 40056921600000.

The previous prime is 101202102009949. The next prime is 101202102010019. The reversal of 101202102010000 is 10201202101.

It can be written as a sum of positive squares in 20 ways, for example, as 34217960550544 + 66984141459456 = 5849612^2 + 8184384^2 .

It is a tau number, because it is divible by the number of its divisors (200).

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 39 ways as a sum of consecutive naturals, for example, 1806861996 + ... + 1806918004.

It is an arithmetic number, because the mean of its divisors is an integer number (1237945448619).

Almost surely, 2^{101202102010000} is an apocalyptic number.

101202102010000 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 101202102010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123794544861900).

101202102010000 is an abundant number, since it is smaller than the sum of its proper divisors (146386987713800).

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

101202102010000 is a wasteful number, since it uses less digits than its factorization.

101202102010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57927 (or 57906 counting only the distinct ones).

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

Adding to 101202102010000 its reverse (10201202101), we get a palindrome (101212303212101).

The spelling of 101202102010000 in words is "one hundred one trillion, two hundred two billion, one hundred two million, ten thousand".