101221100211000 has 1536 divisors, whose sum is σ = 417812845731840. Its totient is φ = 20151936000000.

The previous prime is 101221100210983. The next prime is 101221100211019. The reversal of 101221100211000 is 112001122101.

It is a super-2 number, since 2×101221100211000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5062817004 + ... + 5062836996.

It is an arithmetic number, because the mean of its divisors is an integer number (272013571440).

Almost surely, 2^{101221100211000} is an apocalyptic number.

101221100211000 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 101221100211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208906422865920).

101221100211000 is an abundant number, since it is smaller than the sum of its proper divisors (316591745520840).

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

101221100211000 is a wasteful number, since it uses less digits than its factorization.

101221100211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20174 (or 20153 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101221100211000 its reverse (112001122101), we get a palindrome (101333101333101).

The spelling of 101221100211000 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred million, two hundred eleven thousand".