101211002010000 has 200 divisors, whose sum is σ = 363025122400160. Its totient is φ = 26989600464000.

The previous prime is 101211002009963. The next prime is 101211002010089. The reversal of 101211002010000 is 10200112101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

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 39 ways as a sum of consecutive naturals, for example, 187157782 + ... + 187697781.

Almost surely, 2^{101211002010000} is an apocalyptic number.

101211002010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211002010000 is an abundant number, since it is smaller than the sum of its proper divisors (261814120390160).

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

101211002010000 is an equidigital number, since it uses as much as digits as its factorization.

101211002010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374855600 (or 374855573 counting only the distinct ones).

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

Adding to 101211002010000 its reverse (10200112101), we get a palindrome (101221202122101).

The spelling of 101211002010000 in words is "one hundred one trillion, two hundred eleven billion, two million, ten thousand".