101210222121102 has 64 divisors (see below), whose sum is σ = 228819744979200. Its totient is φ = 33151000065120.

The previous prime is 101210222121079. The next prime is 101210222121119. The reversal of 101210222121102 is 201121222012101.

101210222121102 is a `hidden beast` number, since 10 + 1 + 210 + 222 + 121 + 102 = 666.

It is a super-3 number, since 3×101210222121102³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 914893 + ... + 14256839.

It is an arithmetic number, because the mean of its divisors is an integer number (3575308515300).

Almost surely, 2^{101210222121102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101210222121102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114409872489600).

101210222121102 is an abundant number, since it is smaller than the sum of its proper divisors (127609522858098).

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

101210222121102 is a wasteful number, since it uses less digits than its factorization.

101210222121102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13344398 (or 13344392 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101210222121102 its reverse (201121222012101), we get a palindrome (302331444133203).

The spelling of 101210222121102 in words is "one hundred one trillion, two hundred ten billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred two".