100211202102000 has 320 divisors, whose sum is σ = 352492787731968. Its totient is φ = 24290807040000.

The previous prime is 100211202101963. The next prime is 100211202102083. The reversal of 100211202102000 is 201202112001.

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 63 ways as a sum of consecutive naturals, for example, 599922492 + ... + 600089508.

Almost surely, 2^{100211202102000} is an apocalyptic number.

100211202102000 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 100211202102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176246393865984).

100211202102000 is an abundant number, since it is smaller than the sum of its proper divisors (252281585629968).

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

100211202102000 is a wasteful number, since it uses less digits than its factorization.

100211202102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176145 (or 176129 counting only the distinct ones).

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

Adding to 100211202102000 its reverse (201202112001), we get a palindrome (100412404214001).

It can be divided in two parts, 10021 and 1202102000, that added together give a palindrome (1202112021).

The spelling of 100211202102000 in words is "one hundred trillion, two hundred eleven billion, two hundred two million, one hundred two thousand".