101121222111000 has 4096 divisors, whose sum is σ = 442345819668480. Its totient is φ = 18632540160000.

The previous prime is 101121222110927. The next prime is 101121222111023. The reversal of 101121222111000 is 111222121101.

It is a happy number.

It is a super-2 number, since 2×101121222111000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 373141040865 + ... + 373141041135.

It is an arithmetic number, because the mean of its divisors is an integer number (107994584880).

Almost surely, 2^{101121222111000} is an apocalyptic number.

101121222111000 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 101121222111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221172909834240).

101121222111000 is an abundant number, since it is smaller than the sum of its proper divisors (341224597557480).

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

101121222111000 is a wasteful number, since it uses less digits than its factorization.

101121222111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101121222111000 its reverse (111222121101), we get a palindrome (101232444232101).

The spelling of 101121222111000 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred eleven thousand".