101102001202000 has 160 divisors (see below), whose sum is σ = 257428306212480. Its totient is φ = 38297879654400.

The previous prime is 101102001201961. The next prime is 101102001202003. The reversal of 101102001202000 is 202100201101.

It is a super-2 number, since 2×101102001202000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102001202003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100465327 + ... + 101466673.

It is an arithmetic number, because the mean of its divisors is an integer number (1608926913828).

Almost surely, 2^{101102001202000} is an apocalyptic number.

101102001202000 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 101102001202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128714153106240).

101102001202000 is an abundant number, since it is smaller than the sum of its proper divisors (156326305010480).

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

101102001202000 is a wasteful number, since it uses less digits than its factorization.

101102001202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004046 (or 1004030 counting only the distinct ones).

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

Adding to 101102001202000 its reverse (202100201101), we get a palindrome (101304101403101).

The spelling of 101102001202000 in words is "one hundred one trillion, one hundred two billion, one million, two hundred two thousand".