101220201001000 has 64 divisors (see below), whose sum is σ = 237241658843280. Its totient is φ = 40422031084800.

The previous prime is 101220201000923. The next prime is 101220201001043. The reversal of 101220201001000 is 100102022101.

It can be written as a sum of positive squares in 8 ways, for example, as 61685316 + 101220139315684 = 7854^2 + 10060822^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81948339 + ... + 83174338.

Almost surely, 2^{101220201001000} is an apocalyptic number.

101220201001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220201001000 is an abundant number, since it is smaller than the sum of its proper divisors (136021457842280).

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

101220201001000 is a wasteful number, since it uses less digits than its factorization.

101220201001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165123311 (or 165123297 counting only the distinct ones).

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

Adding to 101220201001000 its reverse (100102022101), we get a palindrome (101320303023101).

The spelling of 101220201001000 in words is "one hundred one trillion, two hundred twenty billion, two hundred one million, one thousand".