101021211200 has 168 divisors, whose sum is σ = 305939293632. Its totient is φ = 31971502080.

The previous prime is 101021211173. The next prime is 101021211229. The reversal of 101021211200 is 2112120101.

It is a super-2 number, since 2×101021211200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201314 + ... + 492513.

It is an arithmetic number, because the mean of its divisors is an integer number (1821067224).

Almost surely, 2^101021211200 is an apocalyptic number.

101021211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021211200 is an abundant number, since it is smaller than the sum of its proper divisors (204918082432).

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

101021211200 is a wasteful number, since it uses less digits than its factorization.

101021211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693869 (or 693854 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101021211200 its reverse (2112120101), we get a palindrome (103133331301).

The spelling of 101021211200 in words is "one hundred one billion, twenty-one million, two hundred eleven thousand, two hundred".