101220021002112 has 128 divisors (see below), whose sum is σ = 273626886892320. Its totient is φ = 33143953612800.

The previous prime is 101220021002101. The next prime is 101220021002117. The reversal of 101220021002112 is 211200120022101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 101220021002091 and 101220021002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220021002117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15311662 + ... + 20901842.

Almost surely, 2^{101220021002112} is an apocalyptic number.

101220021002112 is a gapful number since it is divisible by the number (12) 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 101220021002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136813443446160).

101220021002112 is an abundant number, since it is smaller than the sum of its proper divisors (172406865890208).

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

101220021002112 is an equidigital number, since it uses as much as digits as its factorization.

101220021002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5591032 (or 5591020 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101220021002112 its reverse (211200120022101), we get a palindrome (312420141024213).

The spelling of 101220021002112 in words is "one hundred one trillion, two hundred twenty billion, twenty-one million, two thousand, one hundred twelve".