10100211201000 has 96 divisors (see below), whose sum is σ = 34138713889800. Its totient is φ = 2693389651200.

The previous prime is 10100211200993. The next prime is 10100211201029. The reversal of 10100211201000 is 10211200101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1604746769796 + 8495464431204 = 1266786^2 + 2914698^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 561113845 + ... + 561131844.

Almost surely, 2^{10100211201000} is an apocalyptic number.

10100211201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100211201000 is an abundant number, since it is smaller than the sum of its proper divisors (24038502688800).

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

10100211201000 is a wasteful number, since it uses less digits than its factorization.

10100211201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122245716 (or 1122245699 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10100211201000 its reverse (10211200101), we get a palindrome (10110422401101).

The spelling of 10100211201000 in words is "ten trillion, one hundred billion, two hundred eleven million, two hundred one thousand".