101202000000000 has 880 divisors, whose sum is σ = 342552621172608. Its totient is φ = 26560000000000.

The previous prime is 101201999999953. The next prime is 101202000000001. The reversal of 101202000000000 is 202101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202000000001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 605999999917 + ... + 606000000083.

Almost surely, 2^{101202000000000} is an apocalyptic number.

101202000000000 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 101202000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171276310586304).

101202000000000 is an abundant number, since it is smaller than the sum of its proper divisors (241350621172608).

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

101202000000000 is an frugal number, since it uses more digits than its factorization.

101202000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 101202000000000 its reverse (202101), we get a palindrome (101202000202101).

The spelling of 101202000000000 in words is "one hundred one trillion, two hundred two billion", and thus it is an aban number.