101001102011220 has 96 divisors (see below), whose sum is σ = 288830961216000. Its totient is φ = 26359586627584.

The previous prime is 101001102011189. The next prime is 101001102011237. The reversal of 101001102011220 is 22110201100101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101001102011196 and 101001102011205.

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, 76412506 + ... + 77723054.

It is an arithmetic number, because the mean of its divisors is an integer number (3008655846000).

Almost surely, 2^{101001102011220} is an apocalyptic number.

101001102011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001102011220 is an abundant number, since it is smaller than the sum of its proper divisors (187829859204780).

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

101001102011220 is a wasteful number, since it uses less digits than its factorization.

101001102011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337937 (or 1337935 counting only the distinct ones).

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

Adding to 101001102011220 its reverse (22110201100101), we get a palindrome (123111303111321).

The spelling of 101001102011220 in words is "one hundred one trillion, one billion, one hundred two million, eleven thousand, two hundred twenty".