101011211211200 has 84 divisors (see below), whose sum is σ = 263171341750752. Its totient is φ = 38027750092800.

The previous prime is 101011211211139. The next prime is 101011211211223. The reversal of 101011211211200 is 2112112110101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1856796536 + ... + 1856850935.

Almost surely, 2^{101011211211200} is an apocalyptic number.

101011211211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011211211200 is an abundant number, since it is smaller than the sum of its proper divisors (162160130539552).

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

101011211211200 is a wasteful number, since it uses less digits than its factorization.

101011211211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713647510 (or 3713647495 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101011211211200 its reverse (2112112110101), we get a palindrome (103123323321301).

The spelling of 101011211211200 in words is "one hundred one trillion, eleven billion, two hundred eleven million, two hundred eleven thousand, two hundred".