101022001021200 has 240 divisors, whose sum is σ = 369843660732800. Its totient is φ = 23090310696960.

The previous prime is 101022001021189. The next prime is 101022001021213. The reversal of 101022001021200 is 2120100220101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×101022001021200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 731142522 + ... + 731280678.

Almost surely, 2^{101022001021200} is an apocalyptic number.

101022001021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022001021200 is an abundant number, since it is smaller than the sum of its proper divisors (268821659711600).

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

101022001021200 is a wasteful number, since it uses less digits than its factorization.

101022001021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225234 (or 225223 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101022001021200 its reverse (2120100220101), we get a palindrome (103142101241301).

The spelling of 101022001021200 in words is "one hundred one trillion, twenty-two billion, one million, twenty-one thousand, two hundred".