100212110202000 has 320 divisors, whose sum is σ = 325789790976000. Its totient is φ = 26500005734400.

The previous prime is 100212110201993. The next prime is 100212110202037. The reversal of 100212110202000 is 202011212001.

It is a super-2 number, since 2×100212110202000² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 542565666 + ... + 542750334.

It is an arithmetic number, because the mean of its divisors is an integer number (1018093096800).

Almost surely, 2^{100212110202000} is an apocalyptic number.

100212110202000 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 100212110202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162894895488000).

100212110202000 is an abundant number, since it is smaller than the sum of its proper divisors (225577680774000).

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

100212110202000 is a wasteful number, since it uses less digits than its factorization.

100212110202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185451 (or 185435 counting only the distinct ones).

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

Adding to 100212110202000 its reverse (202011212001), we get a palindrome (100414121414001).

The spelling of 100212110202000 in words is "one hundred trillion, two hundred twelve billion, one hundred ten million, two hundred two thousand".