100202201211000 has 128 divisors (see below), whose sum is σ = 357292420392960. Its totient is φ = 22903360272000.

The previous prime is 100202201210981. The next prime is 100202201211019. The reversal of 100202201211000 is 112102202001.

It is an interprime number because it is at equal distance from previous prime (100202201210981) and next prime (100202201211019).

It is a super-2 number, since 2×100202201211000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2385745696 + ... + 2385787695.

It is an arithmetic number, because the mean of its divisors is an integer number (2791347034320).

Almost surely, 2^{100202201211000} is an apocalyptic number.

100202201211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202201211000 is an abundant number, since it is smaller than the sum of its proper divisors (257090219181960).

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

100202201211000 is a wasteful number, since it uses less digits than its factorization.

100202201211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4771533422 (or 4771533408 counting only the distinct ones).

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

Adding to 100202201211000 its reverse (112102202001), we get a palindrome (100314303413001).

The spelling of 100202201211000 in words is "one hundred trillion, two hundred two billion, two hundred one million, two hundred eleven thousand".