100202121211000 has 64 divisors (see below), whose sum is σ = 242558238312000. Its totient is φ = 38698750249600.

The previous prime is 100202121210977. The next prime is 100202121211019. The reversal of 100202121211000 is 112121202001.

It is a super-2 number, since 2×100202121211000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1727593780 + ... + 1727651779.

It is an arithmetic number, because the mean of its divisors is an integer number (3789972473625).

Almost surely, 2^{100202121211000} is an apocalyptic number.

100202121211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202121211000 is an abundant number, since it is smaller than the sum of its proper divisors (142356117101000).

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

100202121211000 is a wasteful number, since it uses less digits than its factorization.

100202121211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455245609 (or 3455245595 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100202121211000 its reverse (112121202001), we get a palindrome (100314242413001).

The spelling of 100202121211000 in words is "one hundred trillion, two hundred two billion, one hundred twenty-one million, two hundred eleven thousand".