101123212111200 has 216 divisors, whose sum is σ = 359741355501528. Its totient is φ = 26727550832640.

The previous prime is 101123212111199. The next prime is 101123212111279. The reversal of 101123212111200 is 2111212321101.

It is a happy number.

101123212111200 is a `hidden beast` number, since 1 + 0 + 1 + 12 + 321 + 211 + 120 + 0 = 666.

It is a super-2 number, since 2×101123212111200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61331934 + ... + 62959133.

It is an arithmetic number, because the mean of its divisors is an integer number (1665469238433).

Almost surely, 2^{101123212111200} is an apocalyptic number.

101123212111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101123212111200 is an abundant number, since it is smaller than the sum of its proper divisors (258618143390328).

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

101123212111200 is a wasteful number, since it uses less digits than its factorization.

101123212111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124291206 (or 124291190 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 101123212111200 its reverse (2111212321101), we get a palindrome (103234424432301).

The spelling of 101123212111200 in words is "one hundred one trillion, one hundred twenty-three billion, two hundred twelve million, one hundred eleven thousand, two hundred".