101201212001120 has 192 divisors, whose sum is σ = 303135835968000. Its totient is φ = 31008603586560.

The previous prime is 101201212001119. The next prime is 101201212001143. The reversal of 101201212001120 is 21100212102101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101201212001095 and 101201212001104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68886545 + ... + 70340304.

It is an arithmetic number, because the mean of its divisors is an integer number (1578832479000).

Almost surely, 2^{101201212001120} is an apocalyptic number.

101201212001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201212001120 is an abundant number, since it is smaller than the sum of its proper divisors (201934623966880).

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

101201212001120 is a wasteful number, since it uses less digits than its factorization.

101201212001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139226941 (or 139226933 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101201212001120 its reverse (21100212102101), we get a palindrome (122301424103221).

The spelling of 101201212001120 in words is "one hundred one trillion, two hundred one billion, two hundred twelve million, one thousand, one hundred twenty".