101201211012000 has 384 divisors, whose sum is σ = 367072890283008. Its totient is φ = 24167451264000.

The previous prime is 101201211011977. The next prime is 101201211012053. The reversal of 101201211012000 is 210112102101.

It is a super-2 number, since 2×101201211012000² (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, 3122539 + ... + 14565461.

It is an arithmetic number, because the mean of its divisors is an integer number (955918985112).

Almost surely, 2^{101201211012000} is an apocalyptic number.

101201211012000 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 101201211012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183536445141504).

101201211012000 is an abundant number, since it is smaller than the sum of its proper divisors (265871679271008).

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

101201211012000 is a wasteful number, since it uses less digits than its factorization.

101201211012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11443029 (or 11443011 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101201211012000 its reverse (210112102101), we get a palindrome (101411323114101).

It can be divided in two parts, 10120121 and 1012000, that added together give a triangular number (11132121 = T₄₇₁₈).

The spelling of 101201211012000 in words is "one hundred one trillion, two hundred one billion, two hundred eleven million, twelve thousand".