101002212101120 has 176 divisors, whose sum is σ = 265682559346848. Its totient is φ = 36537772277760.

The previous prime is 101002212101117. The next prime is 101002212101129. The reversal of 101002212101120 is 21101212200101.

It is a tau number, because it is divible by the number of its divisors (176).

It is a junction number, because it is equal to n+sod(n) for n = 101002212101095 and 101002212101104.

It is not an unprimeable number, because it can be changed into a prime (101002212101129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6223742 + ... + 15515778.

Almost surely, 2^{101002212101120} is an apocalyptic number.

101002212101120 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 101002212101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132841279673424).

101002212101120 is an abundant number, since it is smaller than the sum of its proper divisors (164680347245728).

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

101002212101120 is a wasteful number, since it uses less digits than its factorization.

101002212101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9292266 (or 9292248 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101002212101120 its reverse (21101212200101), we get a palindrome (122103424301221).

The spelling of 101002212101120 in words is "one hundred one trillion, two billion, two hundred twelve million, one hundred one thousand, one hundred twenty".