101220100102000 has 160 divisors (see below), whose sum is σ = 267008994330624. Its totient is φ = 36806099616000.

The previous prime is 101220100101949. The next prime is 101220100102013. The reversal of 101220100102000 is 201001022101.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 928851517 + ... + 928960483.

Almost surely, 2^{101220100102000} is an apocalyptic number.

101220100102000 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 101220100102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133504497165312).

101220100102000 is an abundant number, since it is smaller than the sum of its proper divisors (165788894228624).

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

101220100102000 is a wasteful number, since it uses less digits than its factorization.

101220100102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151224 (or 151208 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101220100102000 its reverse (201001022101), we get a palindrome (101421101124101).

The spelling of 101220100102000 in words is "one hundred one trillion, two hundred twenty billion, one hundred million, one hundred two thousand".