101211211010000 has 400 divisors, whose sum is σ = 301672921363968. Its totient is φ = 32022950400000.

The previous prime is 101211211009981. The next prime is 101211211010003. The reversal of 101211211010000 is 10112112101.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×101211211010000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211211010003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3886596980 + ... + 3886623020.

Almost surely, 2^{101211211010000} is an apocalyptic number.

101211211010000 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 101211211010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150836460681984).

101211211010000 is an abundant number, since it is smaller than the sum of its proper divisors (200461710353968).

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

101211211010000 is a wasteful number, since it uses less digits than its factorization.

101211211010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30360 (or 30339 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101211211010000 its reverse (10112112101), we get a palindrome (101221323122101).

The spelling of 101211211010000 in words is "one hundred one trillion, two hundred eleven billion, two hundred eleven million, ten thousand".